210385919400 has 192 divisors, whose sum is σ = 668641638720. Its totient is φ = 54693273600.

The previous prime is 210385919377. The next prime is 210385919411. The reversal of 210385919400 is 4919583012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13950264 + ... + 13965336.

It is an arithmetic number, because the mean of its divisors is an integer number (3482508535).

Almost surely, 2^210385919400 is an apocalyptic number.

210385919400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210385919400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334320819360).

210385919400 is an abundant number, since it is smaller than the sum of its proper divisors (458255719320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210385919400 is a wasteful number, since it uses less digits than its factorization.

210385919400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 210385919400 in words is "two hundred ten billion, three hundred eighty-five million, nine hundred nineteen thousand, four hundred".